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Finding the Fourth Proportional to 27,245.30, 40,854.78 and 11,445.84

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Solution

The fourth proportional to 27,245.30, 40,854.78 and 11,445.84 is: 17,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.30 : 40,854.78 = 11,445.84 : x
  2. Step 2: Convert to fraction form
    27,245.30/40,854.78 = 11,445.84/x
  3. Step 3: Cross multiply
    27,245.30x = 40,854.78 × 11,445.84
  4. Step 4: Simplify right side
    27,245.30x = 467,617,275.12
  5. Step 5: Solve for x
    x = 467,617,275.12/27,245.30
  6. Step 6: Final answer
    x = 17,163.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.